4 papers
Higher Kazhdan projections for one relator groups
Sanaz Pooya, Baiying Ren, Hang Wang
We study the -theory classes of higher Kazhdan projections of a discrete group under a spectral-gap assumption and recall how they are obtained, via the Baum--Connes assembly ma…
Euler characteristics, higher Kazhdan projections and delocalised -Betti numbers
Sanaz Pooya, Baiying Ren, Hang Wang
For non-amenable finitely generated virtually free groups, we show that the combinatorial Euler characteristic introduced by Emerson and Meyer is the preimage of the K-theory class…
Higher Kazhdan projections and delocalized -Betti numbers for an amalgamated product group
Baiying Ren
We establish explicit expressions for the -theory classes of higher Kazhdan projections for amalgamated product groups . Our approach f…
Equivariant Index Theorem on in the Context of Continuous Fields of -algebras
Baiying Ren, Hang Wang, Zijing Wang
We prove an equivariant index theorem on the Euclidean space using a continuous field of -algebras. This generalizes the work of Elliott, Natsume and Nest, which is a special…